| |
|
|
|
|
|
|
|
|
1. |
Record Nr. |
UNINA9910480412403321 |
|
|
Autore |
Iwaniec Tadeusz |
|
|
Titolo |
n-harmonic mappings between annuli : the art of integrating free Lagrangians / / Tadeusz Iwaniec, Jani Onninen |
|
|
|
|
|
|
|
Pubbl/distr/stampa |
|
|
Providence, Rhode Island : , : American Mathematical Society, , 2012 |
|
©2012 |
|
|
|
|
|
|
|
|
|
ISBN |
|
|
|
|
|
|
Descrizione fisica |
|
1 online resource (105 p.) |
|
|
|
|
|
|
Collana |
|
Memoirs of the American Mathematical Society, , 0065-9266 ; ; Volume 218, Number 1023 |
|
|
|
|
|
|
|
|
Disciplina |
|
|
|
|
|
|
Soggetti |
|
Quasiconformal mappings |
Extremal problems (Mathematics) |
Electronic books. |
|
|
|
|
|
|
|
|
Lingua di pubblicazione |
|
|
|
|
|
|
Formato |
Materiale a stampa |
|
|
|
|
|
Livello bibliografico |
Monografia |
|
|
|
|
|
Note generali |
|
"July 2012, Volume 218, Number 1023 (first of 5 numbers)." |
|
|
|
|
|
|
Nota di bibliografia |
|
Includes bibliographical references. |
|
|
|
|
|
|
Nota di contenuto |
|
""Contents""; ""Preface""; ""Chapter 1. Introduction and Overview""; ""1. Basic notation""; ""2. Mathematical model of hyperelasticity""; ""3. Variational integrals in GFT""; ""4. Conformal energy""; ""5. Weak limits of homeomorphisms""; ""6. Annuli""; ""7. Hammering a part of an annulus into a circle, n=2""; ""8. Principal n-harmonics""; ""9. Elasticity of stretching""; ""10. Conformally expanding pair""; ""11. Conformally contracting pair""; ""12. The conformal case Mod A = Mod A""; ""13. The energy function Fh""; ""14. Free Lagrangians""; ""15. Uniqueness"" |
""16. The L1-theory of inner distortion""""Conclusion""; ""Part 1. Principal Radial n-Harmonics""; ""Chapter 2. Nonexistence of n-Harmonic Homeomorphisms""; ""Chapter 3. Generalized n-Harmonic Mappings""; ""1. Solutions to the generalized n-harmonic equation that are not n-harmonic""; ""2. Slipping along the boundaries""; ""3. Proof of Theorem 1.7""; ""Chapter 4. Notation""; ""1. Annuli and their modulus""; ""2. Polar coordinates in Rn""; ""3. Spherical coordinates, latitude and longitude""; ""4. Radial stretching""; ""5. Spherical mappings""; ""Chapter 5. Radial n-Harmonics"" |
""1. The n-Laplacian for the strain function""""2. The principal solutions""; ""3. The elasticity function""; ""4. The principal solution H+ (conformal contraction)""; ""5. The principal solution H- (conformal |
|
|
|
|
|
|
|
|
|
|
expansion)""; ""6. The boundary value problem for radial n-harmonics""; ""Chapter 6. Vector Calculus on Annuli""; ""1. Radial and spherical derivatives""; ""2. Some differential forms""; ""Chapter 7. Free Lagrangians""; ""Chapter 8. Some Estimates of Free Lagrangians""; ""1. The Fh-energy integral with operator norm""; ""2. Radial symmetry""; ""3. Proof of Theorem 1.14"" |
""1. Extremal deformations of the sphere """"2. Random variable setting""; ""3. Pulling back a homothety via stereographic projection""; ""4. Back to the variational integral T[]""; ""5. The failure of radial symmetry, Proof of Theorem 1.11""; ""Chapter 15. Quasiconformal Mappings between Annuli""; ""Bibliography"" |
|
|
|
|
|
| |